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Finding the Fourth Proportional to 162.14, 242.93 and 89.84

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Solution

The fourth proportional to 162.14, 242.93 and 89.84 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 242.93 = 89.84 : x
  2. Step 2: Convert to fraction form
    162.14/242.93 = 89.84/x
  3. Step 3: Cross multiply
    162.14x = 242.93 × 89.84
  4. Step 4: Simplify right side
    162.14x = 21,825.66
  5. Step 5: Solve for x
    x = 21,825.66/162.14
  6. Step 6: Final answer
    x = 134.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.